Identify and model points, lines, and planes; identify collinear and coplanar points and intersecting lines and planes in space
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
point, line, plane, collinear, coplanar, undefined term, space, locus
textbook chapter 1
practice exercises, notes
quizzes, tests
2
1
measure segments and determine accuracy of measurement; compute with measures
12.2.5.b
Apply appropriate units and scales to solve problems involving measurement
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
line segment, precision, between, congruent, construction,relative error
textbook chapter 1
practice exercises, notes
quizzes, tests
3
1
find the distance between two points; find the midpoint of a segment, construct segment bisector
12.2.2.b
Apply the midpoint formula
12.2.2.c
Apply the distance formula
12.2.4.a
Sketch and draw appropriate representations of geometric objects using ruler, protractor, or technology
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
midpoint, segment bisector
textbook chapter 1
practice exercises, notes
quizzes, tests
4
1
measure and classify angles; identify and use congruent angles and the bisector of an angle; construct congruent angles and an angle bisector
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.4.a
Sketch and draw appropriate representations of geometric objects using ruler, protractor, or technology
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
identify and use special pairs of angles; identify perpendicular lines
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
adjacent angles, vertical angles, linear pair, complementary angles, supplementary angles
textbook chapter 1
practice exercises, notes
quizzes, tests
6
1
identify and name polygons, find perimeters of polygons
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
12.2.5.b
Apply appropriate units and scales to solve problems involving measurement
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
make conjectures based on inductive reasoning; find counterexamples
12.2.1.b
Analyze properties and relationships among classes of two and three dimensional geometric objects using inductive reasoning and counterexamples
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
2
conjecture, inductive reasoning, counterexample
textbook chapter 2, worksheets
practice exercises, notes
quizzes, tests
8
1
determine truth values of conjunctions and disjunctions; construct truth tables
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
2
statement, truth value, negation, compound statement, conjunction disjunction, truth table
textbook chapter 2, worksheets
practice exercises, notes
quizzes, tests
9
1
analyze statements in if-then form, write the converse, inverse, and contrapositive of if-then statements
12.2.1.b
Analyze properties and relationships among classes of two and three dimensional geometric objects using inductive reasoning and counterexamples
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
2
deductive reasoning, law of detachment, law of syllogism
textbook chapter 2, worksheets
practice exercises, notes
quizzes, tests
11
1
identify and use basic postulates about points, lines and planes; write paragraph proofs
12.2.1.a
Identify and explain the necessity of and give examples of definitions and theorems
12.2.1.c
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
use algebra to write two-column proofs; use properties of equality in geometry proofs
12.2.1.c
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
12.3.3.a
Explain/apply the reflexive, symmetric, and transitive properties of equality
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
write proofs involving segment addition, segment congruence, supplementary and complementary angles, and congruent and right angles
12.2.1.c
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
4
textbook chapter 2, worksheets
practice exercises, notes
quizzes, tests
14
1
identify relationships between two lines or two planes; name angles formed by a pair of lines and a transversal
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
use properties of parallel lines to determine congruent angles; use algebra to find angle measures
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
textbook chapter 3
practice exercises, notes
quizzes, tests
16
1
find slopes of lines; use slopes to identify parallel and perpendicular lines
12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
slope, rate of change
textbook chapter 3
practice exercises, notes
quizzes, tests
17
1
write an equation of a line given information about its graph; solve problems by writing equations
12.3.2.a
Model contextualized problems using various representations (e.g., graphs, tables, one variable equalities, one variable inequalities, linear equations in slope intercept form, inequalities in slope intercept form, system of linear equations with two variables)
12.3.3
Students will represent and solve equations and inequalities
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
slope-intercept form, point-slope form
textbook chapter 3
practice exercises, notes
quizzes, tests
18
1
recognize angle conditions that occur with parallel lines, prove that two lines are parallel based on given angle relationships
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.c
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
textbook chapter 3
practice exercises, notes
quizzes, tests
19
1
find the distance between a point and a line, and between parallel lines
12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
12.2.2.c
Apply the distance formula
12.2.4.a
Sketch and draw appropriate representations of geometric objects using ruler, protractor, or technology
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
equidistant
textbook chapter 3
practice exercises, notes
quizzes, tests
20
2
identify and classify triangles by angles and sides
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
apply the angle sum theorem and the exterior angle theorem, write flow proofs
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.c
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
name and label corresponding parts of congruent triangles, identify congruence transformations
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.3.a
Explain and justify the effects of simple transformations on the ordered pairs of two-dimensional shapes
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
congruent triangles, congruence transformations
textbook chapter 4
practice exercises, notes
quizzes, tests
23
2
prove triangle congruence using SSS, SAS, ASA, and AAS
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.c
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
2
included angle, included side
textbook chapter 4
practice exercises, notes
quizzes, tests
24
2
use properties of isosceles and equilateral triangles
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
vertex angles, base angles
textbook chapter 4
practice exercises, notes
quizzes, tests
25
2
position and label triangles for use in coordinate proofs, write coordinate proofs
12.2.2
Student will use coordinate geometry to analyze and describe relationships in the coordinate plane 12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
coordinate proof
textbook chapter 4
practice exercises, notes
quizzes, tests
26
2
identify and use perpendicular bisectors, angle bisectors, medians, and altitudes of triangles
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
12.2.2.b
Apply the midpoint formula12.2.2.c
Apply the distance formula
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
apply properties of inequalities relating to the measures of angles and sides of triangles
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
textbook chapter 5
practice exercises, notes
quizzes, tests
28
2
use indirect proof with algebra and geometry
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.c
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
indirect proof
textbook chapter 5
practice exercises, notes
quizzes, tests
29
2
apply the triangle inequality theorem and SAS and SSS inequalities
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
textbook chapter 5
practice exercises, notes
quizzes, tests
30
2
identify similar polygons, and use ratios and proportions to solve problems
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
3
similar polygons, ratio, proportion, cross products
textbook chapter 6
practice exercises, notes
quizzes, tests
31
2
recognize and use proportional parts, corresponding perimeters, altitudes, angle bisectors, and medians of similar triangles to solve problems
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
2
scale factor, midsegment
textbook chapter 6
practice exercises, notes
quizzes, tests
32
2
solve problems using the geometric mean, the pythagorean theorem and its converse
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
12.2.1.e
Identify and apply right triangle relationships (e.g., sine, cosine, tangent, special right triangles, converse of Pythagorean Theorem) 12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
12.2.4.b
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
3
geometric mean, Pythagorean triple
textbook chapter 7
practice exercises, notes
quizzes, tests
33
2
use trigonometric ratios to solve right triangle problems
12.2.1.e
Identify and apply right triangle relationships (e.g., sine, cosine, tangent, special right triangles, converse of Pythagorean Theorem)12.2.4.b
Use geometric models to visualize, describe, and solve problems (e.g., find the height of a tree; find the amount of paint needed for a room; scale model)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
2
trigonometric ratio, sine, cosine, tangent
textbook chapter 7
practice exercises, notes
quizzes, tests
34
2
solve triangles using the law of sines and law of cosines
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
12.2.4.b
Use geometric models to visualize, describe, and solve problems (e.g., find the height of a tree; find the amount of paint needed for a room; scale model)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
2
law of sines, law of cosines
textbook chapter 7
practice exercises, notes
quizzes, tests
35
3
investigate interior and exterior angles of polygons
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
interior angles
textbook chapter 8
practice exercises, notes
quizzes, tests
36
3
recognize and apply the properties of parallelograms, rectangles, rhombi, squares, and trapezoids
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.2.d
Prove special types of triangles and quadrilaterals (e.g., right triangles, isosceles trapezoid, parallelogram, rectangle, square) 12.2.4.b
Use geometric models to visualize, describe, and solve problems (e.g., find the height of a tree; find the amount of paint needed for a room; scale model)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
postion quadrilaterals for use in coordinate proof
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
textbook chapter 8
practice exercises, notes
quizzes, tests
38
3
identify parts of a circle and solve problems involving circumference
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.g
Know the definitions and basic properties of a circle and use them to prove basic theorems and solve problems
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
chord, circumference, diameter, radius
textbook chapter 10
practice exercises, notes
quizzes, tests
39
3
find arc and angle measures in a circle
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.g
Know the definitions and basic properties of a circle and use them to prove basic theorems and solve problems12.2.5.e
Find arc length and area of sectors of a circle
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
4
arc
textbook chapter 10
practice exercises, notes
quizzes, tests
40
3
find measure of segments in circles
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.g
Know the definitions and basic properties of a circle and use them to prove basic theorems and solve problems
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
2
tangent, secant
textbook chapter 10
practice exercises, notes
quizzes, tests
41
3
write the equation of a circle
12.2.1.g
Know the definitions and basic properties of a circle and use them to prove basic theorems and solve problems
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
textbook chapter 10
practice exercises, notes
quizzes, tests
42
4
find the area of parallelograms, triangles, rhombi, trapezoids, regular polygons, circles and irregular figures
12.2.5
Students will apply the units, systems, and formulas to solve problems12.2.5.g
Know that the effect of a scale factor k on length, area and volume is to multiply each by k, k² and k³, respectively
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
12.2.1
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
1
polyhedron
textbook chapter 12
practice exercises, notes
quizzes, tests
44
4
find the surface areas of prisms, cylinders, pyramids, cones, and spheres
12.2.5.a
Use strategies to find surface area and volume of complex objects
12.2.5.f
Determine surface area and volume of three-dimensional objects (e.g., spheres, cones, pyramids)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
4
surface area, lateral area
textbook chapter 12
practice exercises, notes
quizzes, tests
45
4
find volumes of prisms, cylinders, pyramids, cones, and spheres
12.2.5.a
Use strategies to find surface area and volume of complex objects
12.2.5.f
Determine surface area and volume of three-dimensional objects (e.g., spheres, cones, pyramids)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Textbook: Geometry, Glencoe, 2004
"The learner will . . ."
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Apply appropriate units and scales to solve problems involving measurement
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Apply the midpoint formula
12.2.2.c
Apply the distance formula
12.2.4.a
Sketch and draw appropriate representations of geometric objects using ruler, protractor, or technology
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.4.a
Sketch and draw appropriate representations of geometric objects using ruler, protractor, or technology
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
12.2.5.b
Apply appropriate units and scales to solve problems involving measurement
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Analyze properties and relationships among classes of two and three dimensional geometric objects using inductive reasoning and counterexamples
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Analyze properties and relationships among classes of two and three dimensional geometric objects using inductive reasoning and counterexamples
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Identify and explain the necessity of and give examples of definitions and theorems
12.2.1.c
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
12.3.3.a
Explain/apply the reflexive, symmetric, and transitive properties of equality
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Model contextualized problems using various representations (e.g., graphs, tables, one variable equalities, one variable inequalities, linear equations in slope intercept form, inequalities in slope intercept form, system of linear equations with two variables)
12.3.3
Students will represent and solve equations and inequalities
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.c
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
12.2.2.c
Apply the distance formula
12.2.4.a
Sketch and draw appropriate representations of geometric objects using ruler, protractor, or technology
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.c
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.3.a
Explain and justify the effects of simple transformations on the ordered pairs of two-dimensional shapes
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.c
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Student will use coordinate geometry to analyze and describe relationships in the coordinate plane 12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
12.2.2.b
Apply the midpoint formula12.2.2.c
Apply the distance formula
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.c
State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
12.2.1.e
Identify and apply right triangle relationships (e.g., sine, cosine, tangent, special right triangles, converse of Pythagorean Theorem) 12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
12.2.4.b
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Identify and apply right triangle relationships (e.g., sine, cosine, tangent, special right triangles, converse of Pythagorean Theorem)12.2.4.b
Use geometric models to visualize, describe, and solve problems (e.g., find the height of a tree; find the amount of paint needed for a room; scale model)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.d
Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions)
12.2.4.b
Use geometric models to visualize, describe, and solve problems (e.g., find the height of a tree; find the amount of paint needed for a room; scale model)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.2.d
Prove special types of triangles and quadrilaterals (e.g., right triangles, isosceles trapezoid, parallelogram, rectangle, square) 12.2.4.b
Use geometric models to visualize, describe, and solve problems (e.g., find the height of a tree; find the amount of paint needed for a room; scale model)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.2.a
Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.g
Know the definitions and basic properties of a circle and use them to prove basic theorems and solve problems
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.g
Know the definitions and basic properties of a circle and use them to prove basic theorems and solve problems12.2.5.e
Find arc length and area of sectors of a circle
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
12.2.1.g
Know the definitions and basic properties of a circle and use them to prove basic theorems and solve problems
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Know the definitions and basic properties of a circle and use them to prove basic theorems and solve problems
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will apply the units, systems, and formulas to solve problems12.2.5.g
Know that the effect of a scale factor k on length, area and volume is to multiply each by k, k² and k³, respectively
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Students will analyze characteristics, properties, and relationships among geometric shapes and objects
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Use strategies to find surface area and volume of complex objects
12.2.5.f
Determine surface area and volume of three-dimensional objects (e.g., spheres, cones, pyramids)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text
Use strategies to find surface area and volume of complex objects
12.2.5.f
Determine surface area and volume of three-dimensional objects (e.g., spheres, cones, pyramids)
LA 12.4.1.a
Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions.
LA 12.4.1.c
Use or decipher multiple formats of print and digital text